
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes. This prime's information:
field (help)  value 
Description:  (2^{653490}  1)^{2}  2 
Verification status (*):  Proven 
Official Comment:  
Proofcode(s): (*):  p393 : Rodenkirch, Cksieve, OpenPFGW 
Decimal Digits:  393441 (log_{10} is 393440.18373291) 
Rank (*):  5675 (digit rank is 1) 
Entrance Rank (*):  3733 
Currently on list? (*):  no 
Submitted:  6/14/2016 16:13:56 CDT 
Last modified:  6/14/2016 22:20:40 CDT 
Removed (*):  1/6/2018 14:41:01 CDT 
Database id:  121779 
Status Flags:  TrialDiv 
Score (*):  43.7687 (normalized score 0.9054) 

Verification data:
The Top 5000 Primes is a list for proven primes only. In order to maintain the
integrity of this list, we seek to verify the primality of all submissions.
We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial
divide and PRP
check every entry before it is included in the list.
field  value 
prime_id  121779 
person_id  9 
machine  Using: Xeon (pool) 4c+4c 3.5GHz 
what  prime 
notes  Command: /home/caldwell/clientpool/1/pfgw64 tc q"(2^6534901)^22" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing (2^6534901)^22 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 3 Running N+1 test using discriminant 11, base 2+sqrt(11) Running N+1 test using discriminant 11, base 3+sqrt(11) Calling N+1 BLS with factored part 50.00% and helper 0.00% (150.01% proof)
(2^6534901)^22 is prime! (21154.5439s+0.0074s) [Elapsed time: 5.88 hours]

modified  20170127 05:57:11 
created  20160614 16:23:01 
id  167418 

Query times: 0.0004 seconds to select prime, 0.0009 seconds to seek comments.
